`1/(x-2)-1/x <= 2/(x+2)`

lim_(x rarr0)((1+x)^((1)/(2))-(1-x)^((1)/(2)))/(x)=1

int_((1)/(2))^(2)(1)/(x)2^(x+(1)/(x))(x^(2)-(1)/(x^(2)))dx is equal to

(x-1) / (2x + 1) + (2x + 1) / (x-1) = (5) / (2), x! =-(1) / (2), 1

Coefficient of x^(n) in ((1+x)(1+2x)(1+3x))/((1-x)(1-2x)(1-3x)) is

Examine the continuity of the following function at the given point : f(x) = {(x, 0 le x < 1/2),(1, x = 1/2),(1-x, 1/2 < x < 1):} at x = 1/2 .

det[[x-1,x^(2)-x+1x+1,x^(2)+x+1]]=?

det[[x-1,x^(2)-x+1x+1,x^(2)+x+1]]=?

If f(x)=|[1,2(x-1),3(x-1)(x-2)],[x-1,(x-1)(x-2),(x-1)(x-2)(x-3)],[x,x(x-1),x(x-1)(x-2)]| . Then, the value of f(2020) is